A circle passes through the point (6, 2). If segments of the straight lines x + y = 6 and x + 2y = 4 are two diameters of the circle, then its radius is

Q: The incenter of a triangle is equidistant from its sides. true or false?

A: Ans--- TRUE  The incenter of a triangle is the point on the interior of the triangle that is…

Q: piece of wire of length 60 cm is cut, and the resulting two pieces are formed to make a circle and a…

A: Let the length of square is x. Then each side of the square will be x4. The circumference of the…

Q: a circle can also be represented in its general form which is written as for a circle to exist,…

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Q: If we have the circle (x – 3) + (y – 3)² = 4 and we intersect it with line y 4 what are the two…

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Q: Suppose a circle has center (- 8, – 9) and passes through the point (1, 6). The y-intercept(s) are…

A: First find out the equation of circle

Q: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

A: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

Q: Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of…

A: Solution:- calculate the value of base by using pythagores therorm.

Q: Find the points on the cone 2² = x² + y² that are closest to the point (3,-3,0)

A: Cone Equation: z2=x2+y2 Given point: 3,-3,0 To find: the points on the cone nearest to the given…

Q: 5. Is the point (2, 7) on the circle defined by (x – 2) + (y – 7)2 = 4?

A: Given equation of the circle is: (x-2)2+(y-7)2=4 Given point is: (2,7) Substituting,x=2,y=7 in given…

Q: 3. Prove that points (5, 1), (2, -2), and (-1, –3) lie on a circle centred at (-2, 5). What is the…

A: Please rate and feel free to ask any query about any part.

Q: Two circles are tangent externally with each other. How many possible lines can be drawn that are…

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Q: A circle has a center at C(7,2). If point 4(13, 12) lies on the circle, which of the following is…

A: The slope of a line passing through the points and is given by . The slopes of perpendicular lines…

Q: A point is plotted on a coordinate grid at (−3,4) How far is the point from point (0,0)?

A: We know, By distance formula ,the distance d between two points whose coordinates are, (x1,y1) and…

Q: Two sides of a triangle have lengths a and b, and the angle between them is u. What value of u will…

A: we know that when two sides of triangle is x and y given and angle between them is θ then area ∆of…

Q: If the straight lines are coplaner then they are?

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Q: Find the distance from point P to line L.  P(3,-1,4), L: (x-4)/-1 = (y-3)/2 = (x+5)/3

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Q: I need a paragraph proof for proving that a circle and a line cannot intersect in three or more…

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Q: 3. Find the dimension of the largest rectangle (in terms of area) that can be inscribed in a circle…

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Q: Suppose a circle has center (- 5, – 7) and passes through the point (3, 7). The r-intercept(s) are…

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Q: A diameter of a circle extends from the point (8,12) to the point(-1,4). What is the length of the…

A: Diameter of the circle is extends from (8,12) to the point (-1,4), then the distance between those…

Q: a right triangle has legs of lengths x and 2x+2 and a hypotenuse of length 2x+3. what are the…

A: Given that  a right triangle has legs of lengths x and 2x+2 and a hypotenuse of length 2x+3.

Q: | 2. Find the radius of this circle. -2 -9 8 -7 -6 -5 -4 -3 -2 -1 0 -1- -2 -3 -4 -5 -6 O 8V5

A: Here, from the given graph: The center of the circle is at (-4,-2)

Q: We are given 17 points inside a regular triangle of side length one. Prove that there are two points…

A: We use Pigeonhole Principle to solve this which states that if n items are put into m containers…

Q: What value represents the approximate length of x, the distance from the center of the octagon to…

A: Answer is mentioned below

Q: If c>+, how many lines through the point (0, c) are normal lines to the parabola y = 3x2? normal…

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Q: Find the midpoint of the segment joining (4, −6) and (2, −6). (x, y) =?

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Q: A pyramid with a square base area of 100 square inches has its height cut in half, resulting in a…

A: The base area of the given square pyramid is 100 square inches. Then the side of the base of the…

Q: 2) 2 4-2

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Q: Find the shortest distance between the point Q (2, 0, 0) and the line determined by the points P1(0,…

A: Find the shortest distance between the point Q (2, 0, 0) and the line determined by the points P1(0,…

Q: Write equations for the circles with radius 5 containing the points (-1, -4) and (4, 1). How many…

A: Given: The circles with a radius(r) is 5 containing the points (-1,-4) and (4,1) Then we have to…

Q: 4. Find the line(s) containing the point (–1,4) and lying at a distance of 5 from the point (6,3).

A: (Note: We are entitled to solve only one question at a time) To Find: The lines containing the point…

Q: A circle with radius 4 and center (-1,3)

A: Topic = Circle

Q: 6. The midpoint of a line segment in the standard (x,y) coordinate plane is (–5, 8). If one endpoint…

A: The midpoint of a line segment in the standard x, y coordinate plane is -5, 8. If one endpoint of…

Q: A circle of radius 6 cm  is inscribed in a right angled triangle whose hypotenuse is 29 cm. What is…

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Q: Find the area of the largest rectangle that fits into the triangle with sides х — %3D1 ахis, у —…

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Q: a) A triangle is inscribed in a semi-circle, its hypotenuse lies on the diameter of the semi-circle.…

A: Given: Let ∆ABC is inscribed in semicircle. The angle inscribed in a semicircle is always a right…

Q: A segment has endpoints L(-2,7) and K(5, –3). What are the coordinates of the midpoint of LK?

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Q: If point A is one unit to the right of Y-axis and two units above the X-axis while point B is two…

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Q: Find the distance in between the point P(0, 2, – 1) and the point Q(0, 1, 2).

A: we have to find distance between the points P and Q Given Points : P(0,2,-1) and Q(0,1,2)

Q: The line segment WX will be dilated by a scale factor of 2 about point Z to create line segment…

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Q: Find the length of the tangent to a circle from point of tangency to point (8,2) . The circle is…

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Q: A circle in the xy-plane has a diameter with endpoints (-1, 3) and (7,3). If the point (0,b) lies on…

A: Topic = circle

Q: i. Prove that circle A with center (0, 4) and radius 4 is similar to circle B with center (-2, -7)…

A: Graph both the circles on desmos graph calculator. Then if they get mapped to each other then they…

Q: The midpoint of the line segment connecting the points P, Q has coordinates (—4, —1). If the point P…

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Q: A straight wire 50 cm long is bent into the shape of an L. What is the shortest possible distance…

A: Given Data: The length of the wire is: l=50 cm   The figure below represents the bent wire.   Let,…

Q: The center of a circle S with coordinate (4,3) has a radius of 13 units. If point P(X,-9) is a point…

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Q: Determine the dimensions of the largest rectangle that could be inscribed in a semi-circle of radius…

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Q: Determine if line segment AB is tangent to the circle. 5.4 6. 7.2

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Q: Point divides the chord into two segments whose lengths are 2.4 units and 1.2 units. If the distance…

A: Given: two segments whose lengths are 2.4 units and 1.2 units  center of the circle is 1.4 units